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Finding the Fourth Proportional to 506,249.49, 698,634.42 and 276,821.15

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Solution

The fourth proportional to 506,249.49, 698,634.42 and 276,821.15 is: 382,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,249.49 : 698,634.42 = 276,821.15 : x
  2. Step 2: Convert to fraction form
    506,249.49/698,634.42 = 276,821.15/x
  3. Step 3: Cross multiply
    506,249.49x = 698,634.42 × 276,821.15
  4. Step 4: Simplify right side
    506,249.49x = 193,396,779,042.73
  5. Step 5: Solve for x
    x = 193,396,779,042.73/506,249.49
  6. Step 6: Final answer
    x = 382,018.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.